Journal of Guangdong University of Technology ›› 2023, Vol. 40 ›› Issue (02): 39-44.doi: 10.12052/gdutxb.210191

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A Spectral Clustering Algorithm Based on Fréchet Distance

Fan Juan1, Deng Xiu-qin1, Liu Yu-lan1,2   

  1. 1. School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou 510520, China;
    2. State Key Lab for NoveI Software Technology, Nanjing University, Nanjing 210093, China
  • Received:2021-12-02 Online:2023-03-25 Published:2023-04-07

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Abstract: In order to improve the clustering accuracy and applicability of spectral clustering, a spectral clustering algorithm based on Fréchet distance (called FSC) is proposed. Firstly a similarity matrix is constructed by Fréchet distance, then the reconstructed similarity matrix is applied to the spectral clustering. Using Fréchet distance to measure the similarity of data feature dimensions can extend the applicability of typical spectral clustering algorithms. FSC is not only suitable for data with clear low-dimensional manifold structure, but also for high-dimensional or sparse data, such as hyperspectral images. The experimental results on three hyperspectral images show that the FSC algorithm effectively improves the accuracy of hyperspectral images clustering.

Key words: hyperspectral images, Fréchet distance, clustering, affinity matrix

CLC Number: 

  • TP751.1
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